Answer :
We need to compute the quotient and remainder when dividing the number [tex]$1516$[/tex] by [tex]$16$[/tex]. Here is the step-by-step process:
1. Express the division as:
[tex]$$ 1516 \div 16 $$[/tex]
2. First, we find the integer quotient. We look for the whole number [tex]$q$[/tex] such that:
[tex]$$ 16 \times q \leq 1516 $$[/tex]
Testing [tex]$q = 94$[/tex], we calculate:
[tex]$$ 16 \times 94 = 1504 $$[/tex]
which is less than [tex]$1516$[/tex]. This suggests [tex]$94$[/tex] is a plausible quotient.
3. Next, we find the remainder by subtracting:
[tex]$$ \text{Remainder} = 1516 - 1504 = 12 $$[/tex]
4. Combining our results, the result of the division is:
[tex]$$ 1516 = 16 \times 94 + 12 $$[/tex]
Thus, the quotient is [tex]$94$[/tex] and the remainder is [tex]$12$[/tex].
Among the given choices, the correct one is:
A. 94 r 12
1. Express the division as:
[tex]$$ 1516 \div 16 $$[/tex]
2. First, we find the integer quotient. We look for the whole number [tex]$q$[/tex] such that:
[tex]$$ 16 \times q \leq 1516 $$[/tex]
Testing [tex]$q = 94$[/tex], we calculate:
[tex]$$ 16 \times 94 = 1504 $$[/tex]
which is less than [tex]$1516$[/tex]. This suggests [tex]$94$[/tex] is a plausible quotient.
3. Next, we find the remainder by subtracting:
[tex]$$ \text{Remainder} = 1516 - 1504 = 12 $$[/tex]
4. Combining our results, the result of the division is:
[tex]$$ 1516 = 16 \times 94 + 12 $$[/tex]
Thus, the quotient is [tex]$94$[/tex] and the remainder is [tex]$12$[/tex].
Among the given choices, the correct one is:
A. 94 r 12
